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121324114422 = 23274152145077
BaseRepresentation
bin111000011111101111…
…0110001000111110110
3102121011021201121000100
41300333132301013312
53441432433130142
6131422512454530
711523344646210
oct1607736610766
9377137647010
10121324114422
11474a9332965
121b61b24a446
13b596616424
145c2d1435b0
15325135ab4c
hex1c3f7b11f6

121324114422 has 96 divisors (see below), whose sum is σ = 308346502464. Its totient is φ = 33752908800.

The previous prime is 121324114411. The next prime is 121324114451. The reversal of 121324114422 is 224411423121.

121324114422 is a `hidden beast` number, since 1 + 213 + 2 + 4 + 1 + 1 + 442 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2668948 + ... + 2714024.

It is an arithmetic number, because the mean of its divisors is an integer number (3211942734).

Almost surely, 2121324114422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121324114422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173251232).

121324114422 is an abundant number, since it is smaller than the sum of its proper divisors (187022388042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121324114422 is a wasteful number, since it uses less digits than its factorization.

121324114422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45654 (or 45651 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121324114422 its reverse (224411423121), we get a palindrome (345735537543).

The spelling of 121324114422 in words is "one hundred twenty-one billion, three hundred twenty-four million, one hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 521 574 738 861 1042 1563 1722 2583 3126 3647 4689 5166 7294 9378 10941 21361 21882 32823 42722 45077 64083 65646 90154 128166 135231 149527 192249 270462 299054 315539 384498 405693 448581 631078 811386 897162 946617 1345743 1848157 1893234 2691486 2839851 3696314 5544471 5679702 11088942 12937099 16633413 23485117 25874198 33266826 38811297 46970234 70455351 77622594 116433891 140910702 164395819 211366053 232867782 328791638 422732106 493187457 962889797 986374914 1479562371 1925779594 2888669391 2959124742 5777338782 6740228579 8666008173 13480457158 17332016346 20220685737 40441371474 60662057211 121324114422